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首页> 外文期刊>International journal of structural stability and dynamics >Analysis of Flutter and Nonlinear Dynamics of a Composite Laminated Plate
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Analysis of Flutter and Nonlinear Dynamics of a Composite Laminated Plate

机译：复合材料层合板颤振和非线性动力学分析

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摘要

This paper presents the analysis of flutter and nonlinear dynamics of an orthotropic composite laminated rectangular plate subjected to aerodynamic pressures and transverse excitation. The first-order linear piston theory is employed to model the air pressures. Based on Reddy's third-order shear deformation plate theory and von Karman-type equation for the geometric nonlinearity, the nonlinear governing equations of motion are derived for the composite laminated rectangular plate by applying the Hamilton's principle. The Galerkin method is utilized to discretize the partial differential governing equations to a set of nonlinear ordinary differential equations. The critical Mach number for occurrence of the flutter of the composite laminated plate is investigated by solving the eigenvalues problem. The relationship between the limit cycle oscillation and the critical Mach number is analyzed based on the nonlinear equations. The numerical simulation is conducted to study the influences of the transverse excitation on the nonlinear dynamics of the composited laminated plate. The numerical results, which include bifurcation diagram, phase plots and waveforms, demonstrate that there exist the bifurcation and chaotic motions of the composited laminated plate subjected to the aerodynamic pressures and the transverse excitation.
机译：本文介绍了正交异性复合层压矩形板在空气动力压力和横向激励作用下的颤振和非线性动力学分析。一阶线性活塞理论用于模拟空气压力。基于Reddy的三阶剪切变形板理论和几何非线性的von Karman型方程，运用汉密尔顿原理推导了复合叠层矩形板的非线性运动控制方程。 Galerkin方法用于将偏微分控制方程离散为一组非线性常微分方程。通过解决特征值问题，研究了复合层压板颤动发生的临界马赫数。基于非线性方程，分析了极限循环振荡与临界马赫数之间的关系。通过数值模拟研究了横向激励对复合材料叠层板非线性动力学的影响。包括分叉图，相图和波形在内的数值结果表明，复合叠合板在空气压力和横向激励作用下存在分叉和混沌运动。

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